Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 10 - Section 10.6 - Factoring General Trinomials - Exercise - Page 356: 5

Answer

$$(6x-5)(2x-3).$$

Work Step by Step

For the polynomial $$ 12x^2-28x+15 $$ we check the factors of $ac=12(15)=180$. The only factors that can give the right middle term are $-10$ and $-18$, as follows $$12x^2-28x+15 =(6x-5)(2x-3).$$
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